Solve for a
a=2
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7a+1=5\left(a+1\right)
Combine 6a and a to get 7a.
7a+1=5a+5
Use the distributive property to multiply 5 by a+1.
7a+1-5a=5
Subtract 5a from both sides.
2a+1=5
Combine 7a and -5a to get 2a.
2a=5-1
Subtract 1 from both sides.
2a=4
Subtract 1 from 5 to get 4.
a=\frac{4}{2}
Divide both sides by 2.
a=2
Divide 4 by 2 to get 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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